Answer:
7.45
Step-by-step explanation:
We are given a right triangle with one side length known and an angle know so we can use some trigonometry.
You need to find the hypotenuse so you are going to use either sine or cosine.
Since the adjacent from the angle is given (SOH-CAH-TOA) we can use cosine so,
cos(20) = 7/h
=>h = 7/cos(20)
=> 7.44924
=> 7.45
Answer:
-12.5%
Step-by-step explanation:
A percentage change is computed using ...
percent change = ((new amount) -(original amount))/(original amount) × 100%
We want to find the percentage change from 4.8 m, so we have ...
percent change = (4.2 -4.8)/4.8 × 100% = -.6/4.8×100% = -12.5%
The carpenter made the track 12.5% too short.
Angle 1 and angle 3 are vertically opposite angles. And both angles are congruent with each other.
<h3>What is an angle?</h3>
The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
Line L and line M intersect each other.
Angle 1 and angle 2 are supplementary angles.
∠1 + ∠2 = 180° ...1
Angle 2 and angle 3 are supplementary angles.
∠2 + ∠3 = 180° ...2
From equations 1 and 2, then we have
∠1 + ∠2 = ∠2 + ∠3
∠1 = ∠3
The vertically opposite angles are angle 1 and angle 3. Furthermore, the two angles line up perfectly.
More about the angled link is given below.
brainly.com/question/15767203
#SPJ1
Answer:
x^15
Step-by-step explanation:
Recall these rules of exponents:
(a^m)^n = a^mn
a^m • a^n = a^(m + n)
(x^6)² • x³ = x^(2 • 6) • x³ = x^12 • x³ = x^(12 + 3) = x^15
